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Popular >

x^2-2x-4>= 0

Solution

x^{2} - 2 x - 4 \geq 0

Solution

x \leq - 5 + 1 or x \geq 5 + 1

+2

Interval Notation

(- \infty, - 5 + 1] \cup [5 + 1, \infty)

Decimal Notation

x \leq - 1.23606 \dots or x \geq 3.23606 \dots

Solution steps

x^{2} - 2 x - 4 \geq 0

Complete the square

x^{2} - 2 x - 4 : (x - 1)^{2} - 5

(x - 1)^{2} - 5 \geq 0

Move

5

to the right side

(x - 1)^{2} \geq 5

For

u^{n} \geq a

, if

n

is even then

x - 1 \leq - 5 or x - 1 \geq 5

x - 1 \leq - 5 : x \leq - 5 + 1

x - 1 \geq 5 : x \geq 5 + 1

Combine the intervals

x \leq - 5 + 1 or x \geq 5 + 1

Popular Examples

simplify-1/2-3 simplify

- \frac{1}{2} - 3

simplify 3/8+1/12 simplify

\frac{3}{8} + \frac{1}{12}

factor 30m^4n^3-12m^3n^2+6m^2n factor

30 m^{4} n^{3} - 12 m^{3} n^{2} + 6 m^{2} n

simplify 1/2*(1/4)^1 simplify

\frac{1}{2} \cdot (\frac{1}{4})^{1}

2 q + 10 = 7 q

Frequently Asked Questions (FAQ)

What is x^2-2x-4>= 0 ?
The solution to x^2-2x-4>= 0 is x<=-sqrt(5)+1\lor x>= sqrt(5)+1